3/2x+4=5/2x+6

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Solution for 3/2x+4=5/2x+6 equation:



3/2x+4=5/2x+6
We move all terms to the left:
3/2x+4-(5/2x+6)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+6)!=0
x∈R
We get rid of parentheses
3/2x-5/2x-6+4=0
We multiply all the terms by the denominator
-6*2x+4*2x+3-5=0
We add all the numbers together, and all the variables
-6*2x+4*2x-2=0
Wy multiply elements
-12x+8x-2=0
We add all the numbers together, and all the variables
-4x-2=0
We move all terms containing x to the left, all other terms to the right
-4x=2
x=2/-4
x=-1/2

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